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Finding the Third Proportional to 2,104,011 and 4,601,682

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Solution

The third proportional to 2,104,011 and 4,601,682 is: 10,064,337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104,011 : 4,601,682 = 4,601,682 : x
  2. Step 2: Convert to fraction form
    2,104,011/4,601,682 = 4,601,682/x
  3. Step 3: Cross multiply
    2,104,011x = 4,601,682 × 4,601,682
  4. Step 4: Simplify right side
    2,104,011x = 21,175,477,229,124
  5. Step 5: Solve for x
    x = 21,175,477,229,124/2,104,011
  6. Step 6: Final answer
    x = 10,064,337.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.